Taiwan
Every figure on this page is calculated from the game's published rules. The operator's own odds page is linked below as verification — but the working is here, on this page.
A standard entry picks 6 numbers from 49. The number of possible combinations is:
C(49, 6) = 13,983,816
After the 6 winning numbers, 1 supplementary/bonus ball is drawn from the same pool — they create extra divisions but don't change the jackpot odds.
| Division | Match | Winning combinations | Derived odds | Probability | Prize | Operator says |
|---|---|---|---|---|---|---|
| 1st prize | 6 main | 1 | 1 in 13,983,816 | 7.151e-8 | Jackpot pool share (sales-dependent) | 1 in 13,983,816 |
| 2nd prize | 5 main + 1 bonus | 6 | 1 in 2,330,636 | 4.291e-7 | Pool share (sales-dependent) | — |
| 3rd prize | 5 main + 0 bonus | 252 | 1 in 55,491 | 1.802e-5 | Pool share (sales-dependent) | — |
| 4th prize | 4 main + 1 bonus | 630 | 1 in 22,197 | 4.505e-5 | Pool share (sales-dependent) | — |
| 5th prize | 4 main + 0 bonus | 12,915 | 1 in 1,083 | 0.0924% | Fixed NT$2,000 | — |
| 6th prize | 3 main + 1 bonus | 17,220 | 1 in 812 | 0.1231% | Fixed NT$1,000 | — |
| 7th prize | 2 main + 1 bonus | 172,200 | 1 in 81.21 | 1.23% | Fixed NT$400 | — |
| 8th prize | 3 main + 0 bonus | 229,600 | 1 in 60.91 | 1.64% | Fixed NT$400 | — |
"Winning combinations" counts how many of the possible outcomes land in that division. "Operator says" is the operator's published figure — shown so you can check us against them (small differences are their rounding).
Odds of winning any prize
1 in 32.31
Sum of all division probabilities — usually the number the ads quote.
Odds of the top prize
1 in 13,983,816
One standard game. Two games doubles it — and it's still tiny.
How long are these odds? Winning the top prize is about as likely as calling 23.7 coin flips in a row correctly (223.7 ≈ 13,983,816). If you bought one line every draw, at two draws a week you would expect one top-prize win roughly every 134,460 years.
Last verified: 2026-08-29